Curated Video
Graphing Step Functions
In this video, the teacher explains how to graph step functions by understanding the general shape of the steps. They discuss the use of open and closed circles when graphing inequalities and provide examples of step functions.
Brian McLogan
Solving and Graphing Compound Inequalities
👉 Learn how to solve compound inequalities and graph their solution on a number line. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the...
Brian McLogan
Graph the equation of an parabola with a horizontal axis of symmetry
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Graph the ellipse by completing the square to write in standard form
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
Learn how to understand the horizontal shift of a absolute value function
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Find the value a that makes the piecewise functions continuous
👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Brian McLogan
Domain of a rational function write in interval notation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Conic section Understanding the parts of a vertical ellipse
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and...
Brian McLogan
How to different transformations affect our graph? square root function
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Using parent graphs to understand the left and right hand limits
👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value...
Brian McLogan
Adding two vectors and graphing
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Learn how to evaluate the limit of a piecewise function with a hole
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Evaluate the limit by looking at the graph with radical in the denominator
👉 Learn how to evaluate the limit of a radical function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The radical function is...
Brian McLogan
The best explanation of domain and range with multiple examples
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
Learn to represent relations by mapping ordered pairs, table and graphing
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
Solving a System by Using a Multiplier for Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...